Radio waves of frequency 1.667 GHzGHz arrive at two telescopes that are connected by a computer to perform interferometry. One portion of the same wave front travels 1.260 mm farther than the other before the two signals are combined.

Required:
a. Will the two waves combine constructively or destructively?
b. Calculate the value of m for the path difference between the two signals

Answers

Answer 1

Explanation:

The frequency of radio waves is 1.667 GHz

One portion of the same wave front travels 1.260 mm farther than the other before the two signals are combined.

There are two conditions for interference either constructive or destructive.

For constructive interference , the path difference is n times of wavelength and for destructive interference, the path difference is (n+1/2) times of wavelength

We can find wavelength in this case as follows :

[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{1.667\times 10^9}\\\\\lambda=0.1799\ m[/tex]

If we divide path difference by wavelength,

[tex]\dfrac{\delta}{\lambda} =\dfrac{1.26}{0.1799}\\\\\dfrac{\delta}{\lambda} =7\\\\\delta =7\lambda[/tex]

It means that the path difference is 7 times of the wavelength. it means the two waves combine constructively and the value of m for the path difference between the two signals is 7.


Related Questions

The mass of a cube is 16cm and the volume is 8cm3. What is the density?

Answers

Answer:

the density is 2

Explanation:

mass divided by volume is density

16 divided by 8 is 2

The MSDS for benzene indicates that it is a clear liquid that has a substantial vapor pressure. It has a health rating of
2, a fire rating of 3, and a reactivity rating of 0. It is a cancer-causing agent.
Based on this information, which statement about benzene is accurate?
-Benzene readily reacts with moist air.
-Benzene explodes if the container is shaken.
-Benzene must be kept away from flames.
Benzene must be stored under high pressure.

Answers

Answer:

Benzene must be kept away from flames.

Explanation:

just took quiz

Answer:

Benzene must be kept away from flames.

Explanation:

Help pleasei really need help it is hard

Answers

Answer:

A. The speed of light become slow because of the denser medium. The medium of plastic block is dencer then the medium of water. That's why the ray bend towards the incident.

B. Water has a higher optical density.

A child rides a wagon down a hill. Eventually, the wagon comes to a stop. Which is most responsible for causing the wagon to stop

Answers

Answer:

well, the hill isn't constantly going down hill, there's an ending point or goes back up hill making a v/u shape or there's nothing helping the wagon being pushed or pull currently

Explanation:

A submarine took 9 hours to complete a journey. For the first 5
hours, it travelled at an average speed of 106 km/h. For the rest
of the journey, it travelled at an average speed of 125 km/h.
What was the total distance of the journey?

Answers

Answer:

1030 km

Explanation:

t= 9 hours

t1= 5 hours

s1= 106 km/h

d1 + d2= d

t1 + t2 =t

5 hours + t2 =9 hours

t2= 5 hours - 9 hours

t2= 4 hours

s2= 125km/h

d= ?

s= d/t

s1= d1/t1

106= d1/5

d1= 106 x 5

d1= 530km

s2= d2/t

125= d2/4

d2= 125 x 4

d2= 500km

d= d1 + d2

d= 530 + 500

d= 1030km

Compute the magnitude of the magnetic field of a long, straight wire carrying a current of 1 A at a distance of 1 m away from it. Compare it with the Earth's magnetic field.

Answers

Answer:

Explanation:

Magnetic field due to a long wire

B = μ x 2I / 4π r where I is current and μ / 4π = 10⁻⁷ , r is distance from the wire

Putting the values

B = 10⁻⁷ x 2 x 1 / 1

= 2 x 10⁻⁷ T .

earth's magnetic field = 45 x 10⁻⁶ T = 450 x 10⁻⁷

So the magnetic field is 225 times less strong than earth's magnetic field .

Which items in this image are electrically conductive? Check all that apply.

Answers

Answer: a and d

Explanation: A.) the power lines themselves

B.) the wooden pole that supports the lines

C.) the rubber soles on the worker’s boots

D.) the metal tools the worker uses

E.) the wooden ladder leaning against the lines

Which statements are included in the kinetic theory of matter? Select all that apply.

Answers

Answer:

There is empty space between matter's particles.

Matter's particles are in constant random motion or vibration.

Matter is made of small particles.

Explanation:

Super fine 40-gauge copper wire has a diameter of only 0.080mm and weighs only 44.5/gkm. Suppose a spool of 40-gauge wire weighs 570.g less after some wire is pulled off to wind a magnet. How could you calculate how much wire was used? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.

Answers

Answer:

[tex]Amount\ of\ wire\ used=\frac{M}{44.5\ g/km}[/tex]

mount of wire used=12.808989 Km

Amount of wire used=12808.989 m

Explanation:

Given Data:

Diameter of wire=d=0.080 mm=0.00008 m

Weight of wire per unit length=44.5 g/km

Spool weighs=M=570 g

Required:

Amount of wire used=L=?

Solution:

Formula is:

[tex]Amount\ of\ wire\ used=\frac{Spool\ weighs}{Weight\ per\ unit\ length}[/tex]

[tex]Amount\ of\ wire\ used=\frac{M}{44.5\ g/km}[/tex]

The above expression is mathematical model of finding how much wire is used. just put the Value of M we will get the answer.

[tex]Amount\ of\ wire\ used=\frac{570\ g}{44.5\ g/km}[/tex]

Amount of wire used=12.808989 Km

Amount of wire used=12808.989 m

a car goes from 16 m/s to 2 m/s in 3.5 s what is the cars acceleration​

Answers

Answer:4m/s^2

Explanation:

Vf=Vi+at

car travels 80 meters due north in 12 seconds then the car turns around and travels 30 Mi do South in 4 seconds calculate the average speed and average velocity of the car during this 60-second interval use guess method​

Answers

Answer:

1) 3.1 m/s

2) 7 m/s

Explanation:

Distance due north = 80 m

Distance due south = 30 m

Distance between north and south = (80 - 30) m = 50 m

Total time = (12 + 4) sec = 16 sec

1) Average speed = 50/16 = 3.1 m/s

2) Average velocity = Total distance/total time = (80 + 30) m/16 s = 110/16 = 7 m/s

APEX What is one advantage of using primary sources when doing research on an
experiment?
A. They are summaries of many scientists' work.
B. They include the opinions of many scientists.
C. They contain more details about the experiment.
D.They are always easier to read.

Answers

Answer:

C

Explanation:

They are first hand sources so they are more reliable and detailed...

One advantage of using primary sources when doing research on an

experiment is they contain more details about the experiment. The correct option is C.

What are primary sources?

Primary sources are the one which are first hand sources. They are more reliable,  so they are more reliable and detailed about the experiment.

Primary sources are the sources which produce their own energy to let other objects emit the same. Just like, Sun, it has has its own light and heat energy. It is reliable and can be experimented with more details.

Thus, the correct option is C.

Learn more about primary sources.

https://brainly.com/question/24511160

#SPJ2

A toy rocket travels at an initial velocity of 144 feet per second. The height of the rocket can be modeled by the function h(t)-144t-16t^2 where t is the time in seconds. When will the rocket return to the ground?

Answers

Answer:

t = 4.5 second

Explanation:

A toy rocket travels at an initial velocity of 144 feet per second. The height of the rocket can be modeled by the function as follows :

[tex]h(t)=-16t^2+144t[/tex]

t is time in seconds

We need to find the time when the rocket return to the ground.

When it reaches ground, h(t) = 0

So,

[tex]-16t^2+144t=0\\\\t(-32t+144)=0\\\\t=0\ \text{and} -32t+144=0\\\\t=0\ \text{and}\ t=4.5\ s[/tex]

So, at 4.5 second the rocket will return to the ground.

how to find the acceleration of on object at a slope​

Answers

Answer:

i need free points sry

Explanation:

Answer:

If the object is moving with an acceleration of +4 m/s/s (i.e., changing its velocity by 4 m/s per second), then the slope of the line will be +4 m/s/s.

hope this helps you

A potassium atom (atomic number 19) and a bromine atom (atomic number 35) can form a chemical bond through a transfer of one electron. The potassium ion that forms has 18 electrons.

Answers

Answer:

it will give one electron to the bromine atom, so the bromine atom will have 36 electrons.  this is an ionic bonding

Explanation:

Answer:

The answer is C. I took the test and got it Right

Explanation:

if the KE is increased by 4 times what will be the velocity​

Answers

Answer: velocity would doubled

Explanation:

As we know the k.e relation is given by

K.E= 0.5 m v^2

Keeping the mass same and increasing the k.e 4 times makes the velocity double.

5. Lady Gaga needed someone to buy more meat for her meat dress. The famous
meat dress store is 40 miles from her house. Gaga drives a monster truck that gets
8000 meters per gallon. She only has 3 gallons of gas in her tank How many
miles can Gaga travel in her monster truck with only 3 gallons? Does Gaga have
enough gas to get to the store? If not, how far can she travel in meters?

Answers

Answer:

she can travel 24000 meters she cant reach the store she can get as much as 125 miles

Explanation:

Una bala de cañón se dispara horizontalmente con una velocidad inicial de 120m/s y un ángulo de elevación de 35°.Encuentra:a)su alcance maximo,b)si altura máxima,c)si tiempo maximo de vuelo

Answers

Answer:

a) x = 1353,2 m.

b) [tex]y_{max}[/tex] = 236,9 m [/tex]

c) [tex]t_{v} = 13,8 s[/tex]

Explanation:

a) El alcance máximo se puede calcular usando la siguiente ecuación:

[tex] y = y_{0} + tan(\theta)*x - \frac{g}{2}*\frac{x^{2}}{(v_{0}cos(\theta))^{2}} [/tex]   (1)

En donde:

y: es la altura final = 0

[tex]y_{0}[/tex]: es la altura inicial = 0

x: es el alcance

θ: es el angulo respecto a la horizontal = 35°  

[tex]v_{0}[/tex]: es la velocidad inicial = 120 m/s

g: es la gravedad = 10 m/s²

Resolviendo la ecuación (1) para x, tenemos:

[tex] x = \frac{2tan(\theta)*(v_{0}cos(\theta))^{2}}{g} = \frac{2tan(35)*(120 m/s*cos(35))^{2}}{10 m/s^{2}} = 1353,2 m [/tex]          

El alcance máximo es 1353,2 m.

b) La altura máxima es:

[tex] y_{max} = \frac{v_{0}_{y}^{2}}{2g} = \frac{(v_{0}sen(\theta))^{2}}{2g} = \frac{(120 m/s*sen(35))^{2}}{2*10 m/s^{2}} = 236,9 m [/tex]

Entonces, la altura máxima es 236,9 m.                                       

c) El tiempo de vuelo es el siguiente:

[tex]t_{v} = \frac{x}{v_{0}cos(\theta)} = \frac{1353,2 m}{120 m/s*cos(35)} = 13,8 s[/tex]

Por lo tanto, el tiempo de vuelo es 13,8 s.

Espero que te sea de utilidad!

354 cm + 64565 mm = ______________m?

Answers

Answer:

68.105m

Explanation:

Convert to meters. So,

3.54 + 64.565 = 68.105

a study where you try to observe subjects in a natural environment is a(n)

Answers

Answer:

i think it Naturalistic observation

Explanation:

Highest molecular motion, highest kinetic energy, no forces of attraction, least dense packaging of molecules."Which state of matter is defined by this description?

Answers

Answer: Plasma

Explanation:

Plasma is a state of matter that consists of hot ionized gas. It should also be noted that plasma contains negatively charged electrons and positive ions.

Therefore, Highest molecular motion, highest kinetic energy, no forces of attraction, least dense packaging of molecules describes plasma.

Which one of the 5W + H questions does the following statistic answer?
The world's fastest roller coaster reaches a speed of almost 150 miles per hour, requiring thrill-seekers to wear goggles when they ride!
(1 point)
How
Who
Where
When

Answers

Answer:Proven answer:: is How just did it online Connections A.

Explanation:

Answer:

How is the answer.

Explanation:

The nucleus of the atom composed of what subatomic particle(s)? A Neutrons and Electrons B Protons and Neutrons C Protons and Electrons D Protons and Electrons

Answers

Answer:B Protons and Neutrons

Explanation:

The nucleus of the atom discovered in 1911 by Ernest Rutherford from the  Geiger–Marsden gold foil experiment consists of protons and neutrons at the center of the  atom which are  are bound together  by a nuclear force.

The nucleus has two basic properties which are the mass and charge of which the proton is positively charged having +1 and the neutron having a neutral charge at zero . Both are denoted with mathematical numbers: Z- proton and  N-neutron and their addition gives the mass number,A.

Both protons and neutrons have a mass of 1 amu.

1) Find out the equivalent resistance.
2) find out all the current's in every resistors.
3) find out the voltage in resistor 1 and 4.

Answers

Answer:

1) 2.388ohms

2) R1 3.36A

R2 1.682A

R3 2.88A

R4 2.16A The current has 5.048A over all

3) Voltage in R1 is 3.36v

Voltage in R4 is 8.63v

Explanation:

1. Each of the resistance R1 and R2 are in parallel in series combination with R3 and R4 so we calculate

R1 and R2 which is 1×2÷(1+2)= 0.6667ohms

R3 and R4 which is 3×4÷( 3+4)= 1.71ohms

so the equivalent resistance is 0.667+ 1.71= *2.377ohms*

2. The overall current = voltage source ÷ total resistance

= 12÷ 2.377= 5.048Amps

so current in every resistor will be

current in 1ohms will be (2÷3)×5.048= 3.36Amps

current in 2ohms will be (1÷3)×5.048= 1.68Amps

current in 3ohms will be (4÷7)×5.048= 2.88amps

current in 4ohms will be (3÷7)× 5.048= 2.16amps

3. voltage in R1 is 0.667ohms × 5.048amps= 3.36v

voltage in R4 is 1.71ohms × 5.048amps= 8.63v

Which option is a force?
O A. Mass
O B. Velocity
O C. Acceleration
O D. Weight

Answers

Answer:

Weight is a force.

Explanation:

Force acting on an object is defined in terms of mass and its acceleration. Its mathematical force is given by

F = ma

Weight of an object is force that the Earth exerts on an object. It can be given by the formula as follows :

W = mg

g is acceleration due to gravity on the surface of earth

Hence, the correct option is (d).

what are the uses of rockets ​

Answers

They are used to be able to go out of Earth and into space to Be able to explore and toBe able to prove and tell about Earth and space

A poster is 0.95m high and 1.0m wide how many digits follow the decimal point when the perimeter of the poster is expressed with the correct number of significant figures
A) zero digits
B) one digit
C)two digits
D)three digits

Answers

Explanation:

It is given that,

Length of the poster, l = 0.95 m

Breadth of the poster, b = 1 m

The poster is in the shape of rectangle. For a rectangular shape, perimeter is equal to :

P = 2(l+b)

P=2(0.95+1)

P=3.9 m

(b) One digits, P = 4 m

(c) Two digits, P = 3.9 m

(d) Three digits, P = 3.90 m

How much time will have passed by the time a sample of an isotope has decayed to 6.25% of its original mass if the half-life is 15 days? 45 days 60 days 75 days 30 days

Answers

Answer:

60 days.

Explanation:

Let the original mass (N₀) = 1 g

Amount remaining (N) = 6.25% of its original mass

= 6.25% × 1

= 6.25/100 × 1

= 0.0625 g

Half life (t½) = 15 days

Time (t) =?

Next, we shall determine the rate of decay. This can be obtained as follow:

Decay constant (K) = 0.693/ half life

K = 0.693 / t½

Half life (t½) = 15 days

Decay constant (K) =?

K = 0.693 / t½

K = 0.693 / 15

K = 0.0462 / day

Finally, we shall determine the time taken for the sample of the isotope to decay to 6.25% of its original mass.

This can be obtained as follow:

Original amount (N₀) = 1 g

Amount remaining (N) = 0.0625 g

Decay constant (K) = 0.0462 / day

Time (t) =?

Log (N₀/N) = Kt/2.3

Log (1/0.0625) = 0.0462 × t / 2.3

Log 16 = 0.0462 × t / 2.3

1.2041 = 0.0462 × t /2.3

Cross multiply

0.0462 × t = 1.2041 × 2.3

Divide both side by 0.0462

t = (1.2041 × 2.3)/0.0462

t = 59.9 ≈ 60 days

Therefore, the time taken for the sample of the isotope to decay to 6.25% of its original mass is 60 days

What is the total mass of the object if the scale is balanced? (The black triangles show the location of the riders.) Do NOT include units with your answer. (Units would be grams). PLEASE HELP

Answers

If I'm understanding the picture, it looks like the riders add up to 117.8 .

1) An astronaut has a mass of 40Kg. Calculate his weight on earth if Gravity (g) = 10m/s^2.
2) The same astronaut goes to the International Space Station. Here the gravitational pull is equal to .5 m/s^2. Calculate his weight.
3) Our astronaut friend is assigned to study a neutron star. He travels to the surface using a special suit. Here the gravitational force is terrible at 150m/s^2 What is the astronaut’s weight?

Answers

Answer:

The formula is W=mg.

1.) W=40×10=400.

2.)W=40×5=200.

3.)W=40×150=6000.

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